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Owing to the cross-pollination between causal discovery and deep learning, non-statistical data (e.g., images, text, etc.) encounters significant conflicts in terms of properties and methods with traditional causal data. To unify these data…

机器学习 · 计算机科学 2023-08-14 Hang Chen , Xinyu Yang , Qing Yang

We address the problem of estimating causal effects from observational data in the presence of network confounding, a setting where both treatment assignment and observed outcomes of individuals may be influenced by their neighbors within a…

机器学习 · 计算机科学 2026-03-24 Abhishek Dalvi , Neil Ashtekar , Vasant Honavar

Causal additive models provide a tractable yet expressive framework for causal discovery in the presence of hidden variables. When unobserved backdoor or causal paths exist between two variables, their causal relationship is often…

机器学习 · 计算机科学 2026-05-25 Thong Pham , Takashi Nicholas Maeda , Shohei Shimizu

Many real-world decision-making tasks require learning causal relationships between a set of variables. Traditional causal discovery methods, however, require that all variables are observed, which is often not feasible in practical…

统计方法学 · 统计学 2023-06-27 Raj Agrawal , Chandler Squires , Neha Prasad , Caroline Uhler

We consider covariate adjusted regression (CAR), a regression method for situations where predictors and response are observed after being distorted by a multiplicative factor. The distorting factors are unknown functions of an observable…

统计理论 · 数学 2016-08-16 Damla Şentürk , Hans-Georg Müller

Much of scientific data is collected as randomized experiments intervening on some and observing other variables of interest. Quite often, a given phenomenon is investigated in several studies, and different sets of variables are involved…

统计方法学 · 统计学 2012-10-19 Antti Hyttinen , Frederick Eberhardt , Patrik O. Hoyer

We deal with a model where a set of observations is obtained by a linear superposition of unknown components called sources. The problem consists in recovering the sources without knowing the linear transform. We extend the well-known…

信号处理 · 电气工程与系统科学 2023-12-14 Marc Castella

Linear regression is a frequently used tool in statistics, however, its validity and interpretability relies on strong model assumptions. While robust estimates of the coefficients' covariance extend the validity of hypothesis tests and…

统计方法学 · 统计学 2015-04-23 Werner Brannath , Martin Scharpenberg

Linear non-Gaussian causal models postulate that each random variable is a linear function of parent variables and non-Gaussian exogenous error terms. We study identification of the linear coefficients when such models contain latent…

统计方法学 · 统计学 2026-03-05 Daniele Tramontano , Mathias Drton , Jalal Etesami

Whether a variable is the cause of another, or simply associated with it, is often an important scientific question. Causal Inference is the name associated with the body of techniques for addressing that question in a statistical setting.…

应用统计 · 统计学 2025-06-25 Caren Marzban , Yikun Zhang , Nicholas Bond , Michael Richman

Difficulties may arise when analyzing longitudinal data using mixed-effects models if there are nonparametric functions present in the linear predictor component. This study extends the use of semiparametric mixed-effects modeling in cases…

统计方法学 · 统计学 2024-02-05 Mozhgan Taavoni , Mohammad Arashi

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

统计理论 · 数学 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Learning high-level causal representations together with a causal model from unstructured low-level data such as pixels is impossible from observational data alone. We prove under mild assumptions that this representation is however…

机器学习 · 统计学 2022-10-12 Johann Brehmer , Pim de Haan , Phillip Lippe , Taco Cohen

We consider the problem of estimating a causal effect in a multi-domain setting. The causal effect of interest is confounded by an unobserved confounder and can change between the different domains. We assume that we have access to a proxy…

机器学习 · 计算机科学 2025-12-30 Manuel Iglesias-Alonso , Felix Schur , Julius von Kügelgen , Jonas Peters

Causal discovery estimates the underlying physical process that generates the observed data: does X cause Y or does Y cause X? Current methodologies use structural conditions to turn the causal query into a statistical query, when only…

机器学习 · 统计学 2020-08-14 Martin Jørgensen , Søren Hauberg

A basic principle in the design of observational studies is to approximate the randomized experiment that would have been conducted under controlled circumstances. Now, linear regression models are commonly used to analyze observational…

统计方法学 · 统计学 2022-07-08 Ambarish Chattopadhyay , Jose R. Zubizarreta

Through recognizing causal subgraphs, causal graph learning (CGL) has risen to be a promising approach for improving the generalizability of graph neural networks under out-of-distribution (OOD) scenarios. However, the empirical successes…

机器学习 · 计算机科学 2025-07-02 Yujia Yin , Tianyi Qu , Zihao Wang , Yifan Chen

We introduce a framework for learning robust visual representations that generalize to new viewpoints, backgrounds, and scene contexts. Discriminative models often learn naturally occurring spurious correlations, which cause them to fail on…

计算机视觉与模式识别 · 计算机科学 2021-03-30 Chengzhi Mao , Augustine Cha , Amogh Gupta , Hao Wang , Junfeng Yang , Carl Vondrick

In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

统计理论 · 数学 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

Linear structural equation models represent direct causal effects as directed edges and confounding factors as bidirected edges. An open problem is to identify the causal parameters from correlations between the nodes. We investigate…

人工智能 · 计算机科学 2022-03-07 Benito van der Zander , Marcel Wienöbst , Markus Bläser , Maciej Liśkiewicz